PowerExpand (Built-in Mathematica Symbol)

PowerExpand[expr] expands all powers of products and powers. PowerExpand[expr, {x_1, x_2, ...}] expands only with respect to the variables x_i.

Attributes (Mathematica Tutorial)

Definitions such as f[x_]=x^2 specify values for functions. Sometimes, however, you need to specify general properties of functions, without necessarily giving explicit ...

Integrals That Can and Cannot Be Done (Mathematica Tutorial)

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

Partitioning and Padding Lists (Mathematica Tutorial)

Partitioning elements in a list. This partitions in blocks of 3. This partitions in blocks of 3 with offset 1.

Representing Textual Forms by Boxes (Mathematica Tutorial)

All textual and graphical forms in Mathematica are ultimately represented in terms of nested collections of boxes. Typically the elements of these boxes correspond to objects ...

String Representation of Boxes (Mathematica Tutorial)

Mathematica provides a compact way of representing boxes in terms of strings. This is particularly convenient when you want to import or export specifications of boxes as ...

The Standard Evaluation Procedure (Mathematica Tutorial)

Here the standard procedure used by Mathematica to evaluate expressions is described. This procedure is the one followed for most kinds of expression. There are, however, ...

PartitionMap (Developer Package Symbol)

PartitionMap[f, list, n] applies f to list after partitioning into nonoverlapping sublists of length n. PartitionMap[f, list, n, d] applies f to sublists obtained by ...

Create a Folder of Thumbnail Images (Mathematica How To)

A very common batch processing task is to reduce the dimensions of a set of images in one or more system folders, in effect constructing thumbnail images. Mathematica 's file ...

Create and Work with Cells (Mathematica How To)

Mathematica notebooks consist of sequences of cells, which can be nested. The hierarchy of cells serves as a structure for organizing information in a notebook as well as ...